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3042024320 = 27510943607
BaseRepresentation
bin1011010101010001…
…1001101110000000
321212000002211212102
42311110121232000
522212224234240
61221505045532
7135245531366
oct26524315600
97760084772
103042024320
111321163995
1270a9268a8
133963095ba
1420c025636
1512c0e5815
hexb5519b80

3042024320 has 64 divisors (see below), whose sum is σ = 7339226400. Its totient is φ = 1205618688.

The previous prime is 3042024299. The next prime is 3042024329. The reversal of 3042024320 is 234202403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3042024292 and 3042024301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042024329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47957 + ... + 91563.

Almost surely, 23042024320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669613200).

3042024320 is an abundant number, since it is smaller than the sum of its proper divisors (4297202080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3042024320 is a wasteful number, since it uses less digits than its factorization.

3042024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43735 (or 43723 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3042024320 is about 55154.5494043782. The cubic root of 3042024320 is about 1448.9527626599.

Adding to 3042024320 its reverse (234202403), we get a palindrome (3276226723).

The spelling of 3042024320 in words is "three billion, forty-two million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 320 436 545 640 872 1090 1744 2180 3488 4360 6976 8720 13952 17440 34880 43607 69760 87214 174428 218035 348856 436070 697712 872140 1395424 1744280 2790848 3488560 4753163 5581696 6977120 9506326 13954240 19012652 23765815 27908480 38025304 47531630 76050608 95063260 152101216 190126520 304202432 380253040 608404864 760506080 1521012160 3042024320